The bricycle: a bicycle in zero gravity can be balanced or steered but not both

@article{Dong2014TheBA,
  title={The bricycle: a bicycle in zero gravity can be balanced or steered but not both},
  author={O. Dong and C. Graham and A. Grewal and C. Parrucci and A. Ruina},
  journal={Vehicle System Dynamics},
  year={2014},
  volume={52},
  pages={1681 - 1694}
}
A bicycle or inverted pendulum can be balanced, that is kept nearly upright, by accelerating the base. This balance is achieved by steering on a bicycle. Simultaneously one can also control the lateral position of the base: changing of the track line of a bike or the position of hand under a balanced stick. We show here with theory and experiment that if the balance problem is removed, by making the system neutrally stable for balance, one cannot simultaneously maintain balance and control the… Expand
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